What is the Least Common Multiple of 28580 and 28587?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 28580 and 28587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28580 and 28587, than apply into the LCM equation.

GCF(28580,28587) = 1
LCM(28580,28587) = ( 28580 × 28587) / 1
LCM(28580,28587) = 817016460 / 1
LCM(28580,28587) = 817016460

Least Common Multiple (LCM) of 28580 and 28587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28580 and 28587. First we will calculate the prime factors of 28580 and 28587.

Prime Factorization of 28580

Prime Factorization of 28587

Now multiplying the highest exponent prime factors to calculate the LCM of 28580 and 28587.

LCM(28580,28587) = 2² × 5¹ × 1429¹ × 3¹ × 13¹ × 733¹
LCM(28580,28587) = 817016460